A Combinatorial Approach to Matrix Theory and Its Applications (Discrete Mathematics and Its Applications) free ebook download.

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A Combinatorial Approach to Matrix Theory and Its Applications (Discrete Mathematics and Its Applications) free ebook download

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Mathematics

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Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	142008223X
Pages:	288	OCR:		Quality:		ISBN13:
Uploader:	gestalt	Upload Date:	3/4/2022 7:23:16 AM

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Unlike most elementary books on matrices, A Combinatorial Approach to Matrix Theory and Its Applications employs combinatorial and graph-theoretical tools to develop basic theorems of matrix theory, shedding new light on the subject by exploring the connections of these tools to matrices.
After reviewing the basics of graph theory, elementary counting formulas, fields, and vector spaces, the book explains the algebra of matrices and uses the Knig digraph to carry out simple matrix operations. It then discusses matrix powers, provides a graph-theoretical definition of the determinant using the Coates digraph of a matrix, and presents a graph-theoretical interpretation of matrix inverses. The authors develop the elementary theory of solutions of systems of linear equations and show how to use the Coates digraph to solve a linear system. They also explore the eigenvalues, eigenvectors, and characteristic polynomial of a matrix  examine the important properties of nonnegative matrices that are part of the PerronFrobenius theory  and study eigenvalue inclusion regions and sign-nonsingular matrices. The final chapter presents applications to electrical engineering, physics, and chemistry.
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3096961	Book	https://tezfiles.com/file/e8aea9fdc841d/...		0.00	gestalt

Tags: Applications Approach Combinatorial Discrete Mathematics Matrix Theory

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